AIIMS Previous Papers 2010

1. Two simple pendulums first of bob mass M₁ and length L₁, second of bob mass M₂ and length L₂. M₁ = M₂ and L₁ = 2L₂. If the vibrational energies of both are same. Then which is correct?

2. Kaiane Aldorino has been named winner of the 2009 Miss World Pageant, recently held in Johannesburg. She belongs to

3. When a copper voltmeter is connected with a battery of emf 12 V. 2g of copper is deposited in 30 min. If the same voltmeter is connected across a 6V battery then the mass of copper deposited in 45 min would be

4. Appearance of dark-coloured pepper moths among the light-coloured ones as a result of increased industrial pollution is an example of

5. Passing H₂S gas through nitric acid produces

6. A balloon rises from rest with constant acceleration g/8. A stone is released from it when it has risen to height h. The time taken by the stone to reach the ground is

7. The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (if it is a second’s pendulum on earth)

8. 0.037 g of an alcohol, R – OH was added to C₂H₅MgI and the gas evolved measured 11.2 cc at STP. The molecular mass of R – OH will be

9. Which of the following professor received the Physics Nobel Prize for 2009 for his ground breaking achievements concerning the transmission of light in fibers for optical communication?

10. The ratio of osmotic pressure exerted by 1 M sucrose and 1 M NaCl solution will be

11. Highest electron affinity is shown by

12. When an ideal monoatomic gas is heated on consant pressure, fraction of heat energy supplied which increases the internal energy of gas, is

13. Which one of the following is the best stage to observe the shape, size and number of chromosomes in a cell?

14. In the blood of an adult man the total content of haemoglobin is roughly

15. If the value of g at the surface of the earth is 9.8 m/s² then the value of g at a place 480 km above the surface of the earth will be (radius of the earth is 6400 km)

16. The main function of the white blood cell in the human intestine system is to

17. India on Jan 11, successfully test fired the missile ‘Astra’ from its Integrated Test Range at Balasore. This missile works from

18. Who has been conferred the 2009 GD Birla Award for Scientific Research?

19. Which element belongs to 4n series?

20. The work functions for metals A, B and C are respectively 1.92 eV, 2.0 eV and 5 eV. According to Einstein’s equation, the metal(s) which will emit photoelectrons for a radiation of wavelength 4100 Å is/are

21. The type of hybrid orbitals used by iodine atom ir, hypoiodous acid molecule are

22. A network of four capacitors of capacities equal to C₁ = C, C₂ = 2C, C₃ = 3C and C₄ = 4C are connected to a battery as shown in the figure.

The ratio of the charges on C₂ and C₄ is

23. A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its center and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its center and perpendicular to its length, then

24. Which of these cricketers hold the record to play international cricket for the longest time?

25. The Brownian motion is due to

26. The function of nitrogen fixation in anabaena (cyanobacterium) is performed by

27. For a first-order reaction A → B the plot of log {[A]_t /l M} versus t is linear with a

28. The monomers of buna-S rubber are

29. Asia’s biggest Solar Power Plant has been recently unveiled at

30. A fruit developed from a condensed inflorescence is

31. An alkyl chloride (A) on reaction with magnesium in dry ether followed by treatment with ethanol gave 2-methylbutane, Give the possible structure of ‘A’.

32. If the photon of the wavelength 150 pm strikes an atom and one of its inner bound electrons is ejected out with a velocity of 1.5 x 10⁷ms⁻¹, what is the energy with which it is bound to the nucleus?

33. A body of mass m rises to height h – R/5 from the earth’s surface where R is earth’s radius. If g is acceleration due to gravity at the earth’s surface, the increase in potential energy will be

34. Sinking of zooplankton during the day and rising to the surface at night is an example of

35. Center of DNA Fingerprinting and Diagnostics (CDFD) is located at

36. Which of the following buffer solution turns invalid on addition of 10 mL of 1.0 M HCl?

37. The pH of the mixture obtained when equal volumes of N/10 NaOH and N.20 HCl are mixed, is

38. A metal plate 4 mm thick has a temperature difference of 32°C between its faces. It transmits 200 kcal/h through an area of 5 cm². thermal conductivity of the material is

39. In a bacterium, the amount of adenine was found to be 18 per cent. Suggest the cytosine base composition from the following

40. MnO⁻₄ is of intense pink colour, though Mn is in +7 oxidation state. It is due to

41. The United Nations (UN) has declared 2010 as the

42. The Indian music composer, who got double Gramy Awards in Los Angeles on Feb 1, 2010, is

43. On which day is annual ‘Pravasi Bharatiya Divas’ celebrated to commemorate the day when Mahatma Gandhi returned from South Africa in 1915?

44. ‘Avatar’ has become the highest grossing movie of all time, surpassing the record made by ‘Titanic’. Who has directed both ‘Avatar’ and ‘Titanic’?

45. A cord is used to lower vertically a block of mass M by a distance d with constant downward acceleration g/4. Work done by the cord on the block is

46. Which of the following aldehyde contains α-C atom but does not have any α-H atom?

47. Consider the sequence of oxides : Na₂O, to SiO₂ and also P₄O₁₀. Which factor decreases from Na₂O to SiO₂ and also from SiO₂ to P₄O₁₀?

48. A force F is applied on the wire of radius r and length L and change in the length of wire is l. If the same force F is applied on the wire of the same material and radius 2r and length 2L, then the change in length of the other wire is

(A) l

(B) 2l

(C) l/2

(D) 4l

49. The dimensions of universal gas constant is

50. The ratio of the dimensions of Planck’s constant and that of the moment of inertia is the dimensions of